Search a number
-
+
2930308128 = 2532112633517
BaseRepresentation
bin1010111010101000…
…1111010000100000
321120012220002001200
42232222033100200
522000124330003
61202434401200
7132421131246
oct25652172040
97505802050
102930308128
11127409a960
12699430200
13379123047
141db264796
151223c96a3
hexaea8f420

2930308128 has 144 divisors (see below), whose sum is σ = 9127774656. Its totient is φ = 884344320.

The previous prime is 2930308127. The next prime is 2930308133. The reversal of 2930308128 is 8218030392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2930308092 and 2930308101.

It is not an unprimeable number, because it can be changed into a prime (2930308127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831426 + ... + 834942.

It is an arithmetic number, because the mean of its divisors is an integer number (63387324).

Almost surely, 22930308128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563887328).

2930308128 is an abundant number, since it is smaller than the sum of its proper divisors (6197466528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2930308128 is a wasteful number, since it uses less digits than its factorization.

2930308128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2930308128 is about 54132.3205488182. The cubic root of 2930308128 is about 1430.9938366565.

The spelling of 2930308128 in words is "two billion, nine hundred thirty million, three hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 263 264 288 352 396 526 528 789 792 1052 1056 1578 1584 2104 2367 2893 3156 3168 3517 4208 4734 5786 6312 7034 8416 8679 9468 10551 11572 12624 14068 17358 18936 21102 23144 25248 26037 28136 31653 34716 37872 38687 42204 46288 52074 56272 63306 69432 75744 77374 84408 92576 104148 112544 116061 126612 138864 154748 168816 208296 232122 253224 277728 309496 337632 348183 416592 464244 506448 618992 696366 833184 924971 928488 1012896 1237984 1392732 1849942 1856976 2774913 2785464 3699884 3713952 5549826 5570928 7399768 8324739 10174681 11099652 11141856 14799536 16649478 20349362 22199304 29599072 30524043 33298956 40698724 44398608 61048086 66597912 81397448 88797216 91572129 122096172 133195824 162794896 183144258 244192344 266391648 325589792 366288516 488384688 732577032 976769376 1465154064 2930308128